The effective length estimation of columns in semi-rigid jointed braced frames
Abstract
This paper presents a theoretical and exact procedure for the stability analysis of braced steel frames, taking in account the flexibility effect of the beam-column connections. In order to determine the effective length factor (K-factor). The isolated subassembly approach is used to establish the buckling governing equation. In this study, the relative stiffness coefficient at the isolated column ends is provided by the remainder members of the structure, rather than of the relative stiffness factor in the alignment chart method. A computer program for plane structure analysis is used to evaluate the relative stiffness coefficients. To illustrate the accuracy of the established transcendental equation, K-factor values for the case of fully rigid connections, are compared to the exact and the French rules results. The effect of the type of transfer elements between the frame members, in term of fixity factors is investigated. Moreover, the effect of restraining conditions, provided by the whole frame structure, in term of relative stiffness coefficients, is also studied. The obtained results revealed that the buckling critical loads of the columns in frames of rigid members are significantly affected by the fixity factors variation, unlike in flexible structures.References
Barakat, M., W. F. Chen (1990) Practical analysis of semi-rigid frames. Engineering Journal 27(2): 54-68.
Bridge, R. Q., D. J. Fraser (1987) Improved G-factor method for evaluating effective lengths of columns. .Journal of Structural Engineering 113(6): 1341-1356.
CAN/CSA-S136-M89 (1989) Cold Formed Steel Structural Members. Canadian Standards Association, Rexdale (Toronto), Ontario, Canada.
Dumonteil, P. (1992) Simple equations for effective length factors. Eng J AISC 29(3): 111-115.
Gantes, C. J., G. E. Mageirou (2005) Improved stiffness distribution factors for evaluation of effective buckling lengths in multi-story sway frames. Engineering structures 27(7): 1113-1124.
Goto, Y., S. Suzuki, W. F. Chen (1993) Stability behaviour of semi-rigid sway frames. Engineering Structures 15(3): 209-219.
Hellesland, J. (2012). Evaluation of effective length formulas and applications in system instability analysis. Engineering Structures 45 405-420.
Kavanagh, T. C. (1962) Effective length of framed columns. Transactions of the American Society of Civil Engineers 127, 81-101.
Kishi, N., W. F. Chen, Y. Goto, M. Komuro (1998) Effective length factor of columns in flexibly jointed and braced frames. Journal of Constructional Steel Research 47(1): 93-118.
Montforton G.R., T. S. Wu (1963) Matrix analysis of semi-rigidly connected frames. Journal of Structural Division, ASCE 89(6):13-42.
Picard, A., D. Beaulieu (1985) Behaviour of a simple column base connection. Canadian Journal of Civil Engineering 12(1): 126-136.
Simoes, L. M. C. (1996) Optimization of frames with semi-rigid connections. Computers & Structures 60(4): 531-539.
Timoshenko S.P., J.M. Gere (1966) Théorie de la stabilité élastique. Paris, DUNOD.
Tong, G., J. Wang (2004) Column effective length considering the inter-story interaction. Advances in Structural Engineering 7(5): 415-425.
Webber, A., J. J. Orr, P. Shepherd, K. Crothers (2015) The effective length of columns in multi-storey frames. Engineering Structures 102 132-143.
Xu, L., &, Y. Liu (2002) Story stability of semi-braced steel frames. Journal of constructional steel research 58(4): 467-491.
Bridge, R. Q., D. J. Fraser (1987) Improved G-factor method for evaluating effective lengths of columns. .Journal of Structural Engineering 113(6): 1341-1356.
CAN/CSA-S136-M89 (1989) Cold Formed Steel Structural Members. Canadian Standards Association, Rexdale (Toronto), Ontario, Canada.
Dumonteil, P. (1992) Simple equations for effective length factors. Eng J AISC 29(3): 111-115.
Gantes, C. J., G. E. Mageirou (2005) Improved stiffness distribution factors for evaluation of effective buckling lengths in multi-story sway frames. Engineering structures 27(7): 1113-1124.
Goto, Y., S. Suzuki, W. F. Chen (1993) Stability behaviour of semi-rigid sway frames. Engineering Structures 15(3): 209-219.
Hellesland, J. (2012). Evaluation of effective length formulas and applications in system instability analysis. Engineering Structures 45 405-420.
Kavanagh, T. C. (1962) Effective length of framed columns. Transactions of the American Society of Civil Engineers 127, 81-101.
Kishi, N., W. F. Chen, Y. Goto, M. Komuro (1998) Effective length factor of columns in flexibly jointed and braced frames. Journal of Constructional Steel Research 47(1): 93-118.
Montforton G.R., T. S. Wu (1963) Matrix analysis of semi-rigidly connected frames. Journal of Structural Division, ASCE 89(6):13-42.
Picard, A., D. Beaulieu (1985) Behaviour of a simple column base connection. Canadian Journal of Civil Engineering 12(1): 126-136.
Simoes, L. M. C. (1996) Optimization of frames with semi-rigid connections. Computers & Structures 60(4): 531-539.
Timoshenko S.P., J.M. Gere (1966) Théorie de la stabilité élastique. Paris, DUNOD.
Tong, G., J. Wang (2004) Column effective length considering the inter-story interaction. Advances in Structural Engineering 7(5): 415-425.
Webber, A., J. J. Orr, P. Shepherd, K. Crothers (2015) The effective length of columns in multi-storey frames. Engineering Structures 102 132-143.
Xu, L., &, Y. Liu (2002) Story stability of semi-braced steel frames. Journal of constructional steel research 58(4): 467-491.
Published
2016-12-21
How to Cite
MEGHEZZI-LARAFI, Ismail; TATI, Abdelouahab.
The effective length estimation of columns in semi-rigid jointed braced frames.
Journal of Applied Engineering Science & Technology, [S.l.], v. 2, n. 2, p. 91-97, dec. 2016.
ISSN 2571-9815.
Available at: <https://revues.univ-biskra.dz/index.php/jaest/article/view/1896>. Date accessed: 19 nov. 2024.
Issue
Section
Section C: Geotechnical and Civil Engineering
Keywords
Effective length factor; Semi-rigid connection; Braced frame; Relative stiffness coefficient
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